By Kevin Lim SINGAPORE | Fri Dec 28, 2012 1:50pm EST SINGAPORE (Reuters) - The condition of an Indian medical student whose gang rape triggered mass protests has deteriorated and there are signs her vital organs have failed, the Singapore hospital treating her said. The 23-year-old, who was severely beaten, raped and thrown out of a moving bus in New Delhi, was flown to Singapore by the Indian government on Wednesday for specialist treatment. Most rapes and other sex crimes in India go unreported and offenders are rarely punished, women's rights activists say. But the brutality of the assault on December 16 triggered public outrage and demands for both better policing and harsher punishment for rapists. The case has received blanket coverage on cable television news channels. The woman has not been identified but some Indian media have called her "Amanat", an Urdu word mea...